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有限域上B_l型Chevalley群的二元生成

Two-element generation of Chevalley groups of B_l type over finite fields
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摘要 证明了有限域上B_l型Chevalley群可由两个元素生成 Chevalley groups of type Bl over finite fields are shown to be generated by two elements
作者 周琦 王登银
出处 《纯粹数学与应用数学》 CSCD 北大核心 2008年第3期622-624,共3页 Pure and Applied Mathematics
关键词 CHEVALLEY群 根系 李代数 二元生成 Chevalley groups, root systems, Lie algebra, two-element generation
  • 相关文献

参考文献10

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  • 2Stanek P. Two-element generation of the symplectic groups [J].Trans. Amer. Math. Soc., 1963, 108:429-436.
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二级参考文献10

  • 1[1]Humphreys J E. Introduction to Lie Algebras and Representation Theory. Springer-Verlag, 1972.
  • 2[2]Carter R W. Simple Groups of Lie Type. Wiley Interscience, New York, 1972.
  • 3[3]Ishibahi H. Small system of generators of isotropic unitary groups over finite fields of characteristic not two. J. Algebra, 1985, 93: 324-331.
  • 4[4]You Hong and Gao You. Two-Element Generation of Unitary Groups Over Finite Fields. Proceedings of the 1996 Beijing International Conferences on Group Theory, Springer-Verlag Singapore Pte. Lid, 1998, 49-57.
  • 5[5]Ishibahi H. Generation of classical groups over finite fields. Linear Algebra Appl, 1983, 51: 9-15.
  • 6[6]Ishibahi H and Earnest A G. Two-element generation of orthogonal groups over finite fields. J.Algebra, 1994, 165: 164-171.
  • 7[7]Earnest A G, Catalpa R A, Schmidt U S and Stewart G T. Remarks on the generation of orthogonal groups over finite fields. J. Algebra, 1995, 176: 585-590.
  • 8[8]Stanek P. Two-element genetation of the symplectic groups. Trans. Amer. Math. Soc., 1963, 108:429-436.
  • 9Wan Z X,Studentlitteratur Chartwell Bratt,1993年
  • 10华罗庚,典型群,1963年

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